Math, asked by solosince2004, 9 months ago

i make you as brainliest solve this answer

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Answers

Answered by Mounikamaddula
2

Answer:

To prove:

The equation is,

tan∅+sec-1/tan∅-sec+1=1+sin∅/cos∅

Identity used :

sec²-tan²=1

Solution:

It is given that,

LHS,

tan∅+sec∅-1/tan∅-sec+1

Use the identity,

=tan∅+sec∅-(sec²-tan²)/tan∅-sec+1

=tan∅+sec∅+tan²-sec²/tan∅-sec+1

=tan∅+sec∅+(tan∅+sec∅)(tan∅-sec)/tan∅-sec+1

=tan∅+sec∅(1+tan∅-sec)/tan∅-sec+1

=tan∅+sec∅

=sin∅/cos∅+1/cos∅

=sin∅+1/cos∅

So, LHS=RHS

Step-by-step explanation:

Hope it helps you.......

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